Question

【Calculation Only] Find the value of Zi for maximum average power transfer. In addition, determine the value of the maximum average power delivered to the load. 3· j40 -j2Ω +420 V

Answer 1

For solving this question we need to calculate Thevenins eq univalent across z_L Apply kvL in loop and current across capacitor is zero since open circuit v_H - j4 I - 2I + 4L_o = 0 also v_H = -2I -j4I - 4I = -4 angle 0 I (1 + j) = 1 angle 0 I = 1 angle 0/1 + j = 1/squareroot 2 angle 45 degree Now, v_oc = 2I - 4 angle 0 v_oc = 2/squareroot 2 angle 45 degree - 4 angle 0 degree = squareroot 2 -45 degree - 4 angle 0 degree v_oc = -3 -j = squareroot 10 angle -161.56 degree Now calculate I_sc (short circuit current) by shorting ab. Applying Nodal analysis at node 'p' v_p - v_x/j^4 + v_p + 4 angle 0/2 + v_p - 0/-j2 = 0 and also v_x = -2 (v_p + 4 angle 0/2) = -v_p - 4 angle 0 Therefore v_p